249963264 has 216 divisors, whose sum is σ = 774839520. Its totient is φ = 77316096.

The previous prime is 249963251. The next prime is 249963293. The reversal of 249963264 is 462369942.

249963264 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 632 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808532 + ... + 2808620.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^249963264 is an apocalyptic number.

249963264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249963264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387419760).

249963264 is an abundant number, since it is smaller than the sum of its proper divisors (524876256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249963264 is a wasteful number, since it uses less digits than its factorization.

249963264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 249963264 is about 15810.2265638415. The cubic root of 249963264 is about 629.9296671295.

The spelling of 249963264 in words is "two hundred forty-nine million, nine hundred sixty-three thousand, two hundred sixty-four".